868425600 has 192 divisors, whose sum is σ = 3269255040. Its totient is φ = 198481920.

The previous prime is 868425581. The next prime is 868425629. The reversal of 868425600 is 6524868.

It is a tau number, because it is divible by the number of its divisors (192).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60739 + ... + 73661.

It is an arithmetic number, because the mean of its divisors is an integer number (17027370).

Almost surely, 2^868425600 is an apocalyptic number.

868425600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 868425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634627520).

868425600 is an abundant number, since it is smaller than the sum of its proper divisors (2400829440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

868425600 is a wasteful number, since it uses less digits than its factorization.

868425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12957 (or 12940 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 868425600 is about 29469.0617427837. The cubic root of 868425600 is about 954.0640666510.

The spelling of 868425600 in words is "eight hundred sixty-eight million, four hundred twenty-five thousand, six hundred".